Applied Mathematical Modelling最新文献

{"title":"Bandwidth extension of shaking table based on active disturbance rejection predictive control","authors":"Jinhong Li ,&nbsp;Qi Lei ,&nbsp;Wei Guo ,&nbsp;Ping Shao","doi":"10.1016/j.apm.2025.116348","DOIUrl":"10.1016/j.apm.2025.116348","url":null,"abstract":"<div><div>This paper proposes a model predictive control method based on active interference suppression to address the problems encountered in real-time hybrid simulation, including interference suppression, bandwidth expansion, and time delay compensation. A modified extended state observer is employed to detect disturbances, including external interference and modeling errors in the electro-hydraulic system at various frequencies. Then, the feedback controller eliminates these disturbances, enabling the established model to adapt to various working frequencies. By effectively rejecting this disturbance, the model predictive control algorithm can be designed based solely on the nominal model within a wide frequency range, thereby reducing design difficulty. Additionally, this paper introduces adaptive amplitude compensation to overcome the overshoot problem that occurs in traditional active polynomial extrapolation methods when compensating for high-frequency signals. While compensating for signal delays, the prediction control effect is fine-tuned, and the system's operating bandwidth is further expanded. Finally, the effectiveness of the proposed method is verified through simulation and experiments.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116348"},"PeriodicalIF":4.4,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A nonlinear mixed-frequency grey prediction model with two-stage lag parameter optimization and its application","authors":"Xiaoyi Gou ,&nbsp;Chuanmin Mi ,&nbsp;Yingjie Yang ,&nbsp;Bo Zeng","doi":"10.1016/j.apm.2025.116360","DOIUrl":"10.1016/j.apm.2025.116360","url":null,"abstract":"<div><div>With the advancement of data science, the demand for methods capable of simultaneously processing and utilizing complex mixed-frequency data systems with uncertainty characteristics is increasing. To address this need, a novel nonlinear mixed-frequency grey prediction model with two-stage lag parameter optimization is proposed which integrates frequency-domain analysis and optimization algorithm. The proposed model innovatively incorporates the phase spectrum analysis method into the mixed-frequency modeling framework, determines a reasonable range for lag parameters using frequency-domain analysis, and enhances the characterization of system nonlinearity by introducing a power-driven term. The effectiveness and robustness of the proposed model are validated through both experiments on synthetic data and real-world case studies on electricity consumption. Comparative experiments against existing mixed-frequency grey prediction model, nonlinear grey prediction model, and mixed-frequency sampling regression model demonstrate that proposed model exhibits superior performance in key metrics, including mean absolute percentage error and standard deviation. This study provides a novel solution for modeling relationships among multi-frequency variables in complex systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116360"},"PeriodicalIF":4.4,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144827533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global-local hierarchical anti-vibration optimization of turbine blade based on adaptive multi-Kriging model","authors":"Yujie Zhao ,&nbsp;Yixin Qu ,&nbsp;Honglin Li ,&nbsp;Shouyi Sun ,&nbsp;Lei Li ,&nbsp;Zhufeng Yue","doi":"10.1016/j.apm.2025.116362","DOIUrl":"10.1016/j.apm.2025.116362","url":null,"abstract":"<div><div>This study proposes a novel global-local hierarchical anti-vibration optimization method for turbine blades, integrating two complementary strategies: global structural vibration avoidance to enhance resonance margins and local structural vibration reduction to minimize vibration stress. The framework employs distinct optimization approaches for different dimensional challenges. For high-dimensional multi-objective global optimization, an adaptive multi-Kriging method based on parameter sensitivity analysis (PSAM-Kriging method) is proposed. PSAM-Kriging method combines dimension reduction through parameter sensitivity with cyclic adaptive infill points to improve computational efficiency and predictive accuracy. Traditional adaptive Kriging method (A-Kriging method) is retained for low-dimensional local optimization. Experimental validation on a newly designed turbine blade demonstrates the effectiveness of the proposed method. Global optimization achieved a 1.4% improvement in resonance margin for dangerous resonance order, while local optimization reduced maximum vibration stress by 24.99%. The integrated approach significantly enhanced the resistance to high-cycle fatigue (HCF) of turbine blade, yielding a 37.14% increase in HCF strength reserve coefficient. These results confirm the methodology's capability to synergistically address different vibration mechanisms through hierarchical optimization. This hierarchical optimization paradigm offers valuable insights for complex structural design challenges in turbomachinery applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116362"},"PeriodicalIF":4.4,"publicationDate":"2025-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144827531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Study on surrounding rock deformation of deep buried tunnel based on nonlinear damage Nishihara model","authors":"Taotao Hu,&nbsp;Xianchao Gao,&nbsp;Hongfei Zhou","doi":"10.1016/j.apm.2025.116350","DOIUrl":"10.1016/j.apm.2025.116350","url":null,"abstract":"<div><div>The deformation of deep buried tunnel surrounding rock is a complicated nonlinear mechanical problem. In this paper, the viscoelastic-plastic solution of surrounding rock deformation of deep buried carbonaceous slate tunnel is studied by means of theoretical analysis and numerical simulation. Firstly, according to the creep characteristics of carbonaceous slate, a mechanical model of the surrounding rock is established, and the analytical solution of stress, strain and displacement of the surrounding rock of the carbonaceous slate tunnel with time is derived by using the three-dimensional creep equation of the improved nonlinear damage Nishihara model, governing equations and the Drucker-Prager strength criterion. Secondly, according to the Muzhailing highway tunnel, the numerical calculation model of surrounding rock is established. The UMAT subroutine is developed for the proposed creep model, and the effectiveness of the UMAT subroutine is verified by combining triaxial creep tests and numerical simulations of triaxial creep tests. The influence of different dilatancy angles and burial depths on the deformation of surrounding rock of deep buried carbonaceous slate tunnel is analyzed by embedding ABAQUS. Finally, the monitoring points are selected to be located on the surrounding rock arch waist and vault, and the analytical solutions, numerical simulation solutions, and field tests of the surrounding rock arch waist and vault under different dilatancy angles and burial depths are compared and analyzed in combination with the Muzhailing highway tunnel. The results indicate that the dilatancy angle has a significant effect on the creep displacement of the surrounding rock arch waist. The larger the dilatancy angle, the more obvious the dilatancy effect of the surrounding rock, and the greater the creep displacement of the surrounding rock arch waist. The burial depth has a significant effect on the creep displacement of the surrounding rock vault. The greater the burial depth, the more obvious the rheological effect of the surrounding rock, and the greater the creep displacement of the surrounding rock vault. The research results can provide a theoretical basis for the optimization of supporting structure design.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116350"},"PeriodicalIF":4.4,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144771000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Thermodynamic analyzing the intrinsic mechanisms of intelligent responses in amorphous polymer: Mathematical modelling and application in 4D-printed material","authors":"Hao Duan ,&nbsp;Jianping Gu ,&nbsp;Hao Zeng ,&nbsp;Huiyu Sun","doi":"10.1016/j.apm.2025.116333","DOIUrl":"10.1016/j.apm.2025.116333","url":null,"abstract":"<div><div>Amorphous polymers are widely used in 4D printing for manufacturing smart structures and systems owing to their thermally intelligent responses manifested as stress and shape recovery. Here, we aim to analyze the intrinsic mechanisms of intelligent responses using mathematical modelling. To represent the responses, novel forms of strongly coupled and weakly coupled physical mechanisms are firstly established and incorporated into the thermodynamic constitutive framework. Additionally, this study provides further clarification on the ambiguities surrounding the cooperative relationship between structure and stress relaxation in previous studies. The thermodynamic constitutive model, when validated against experimental data, reliably captures the elastic-viscoplastic and stimulus-responsive behaviors of polymer materials. The model results elucidate the intrinsic mechanism underlying the intelligent response of amorphous polymers, which originates from the thermodynamic synergy between structure and stress relaxation, rather than the coupling form.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116333"},"PeriodicalIF":4.4,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144841089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic modeling and vibrations of large deployable mesh reflectors","authors":"Na Tan ,&nbsp;Jiajun Zhang ,&nbsp;Christian Kazoleas ,&nbsp;Weidong Zhu ,&nbsp;Kai Zhou ,&nbsp;Sichen Yuan","doi":"10.1016/j.apm.2025.116329","DOIUrl":"10.1016/j.apm.2025.116329","url":null,"abstract":"<div><div>Large deployable mesh reflectors play a critical role in satellite communications, Earth observation, and deep-space exploration, offering high-gain antenna performance through precisely shaped reflective surfaces. Traditional dynamic modeling approaches—such as wave-based and finite element methods—often struggle to accurately capture the complex behavior of three-dimensional reflectors due to oversimplifications of cable members. To address these challenges, this paper proposes a novel spatial discretization framework that systematically decomposes cable member displacements into boundary-induced and internal components in a global Cartesian coordinate system. The framework derives a system of ordinary differential equations for each cable member by enforcing the Lagrange’s equations, capturing both longitudinal and transverse internal displacement of the cable member. Numerical simulations of a two-dimensional cable-network structure and a center-feed parabolic deployable mesh reflector with 101 nodes illustrate the improved accuracy of the proposed method in predicting vibration characteristics across a broad frequency range. Compared to standard finite element analysis, the proposed method more effectively identifies both low- and high-frequency modes and offers robust convergence and accurate prediction for both frequency and transient responses of the structure. This enhanced predictive capability underscores the significance of incorporating internal cable member displacements for reliable dynamic modeling of large deployable mesh reflectors, ultimately informing better design, control, and on-orbit performance of future space-based reflector systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116329"},"PeriodicalIF":4.4,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144827324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Data-driven Wasserstein distributionally robust train formation and passenger flow control on an overcrowded metro line","authors":"Kai Yang ,&nbsp;Dayou Gao ,&nbsp;Zhengjie Wu ,&nbsp;Yicun Chen ,&nbsp;Mengru Shen ,&nbsp;Lixing Yang","doi":"10.1016/j.apm.2025.116330","DOIUrl":"10.1016/j.apm.2025.116330","url":null,"abstract":"<div><div>This paper addresses the formation of train units and the coordination of passenger flow control on a congested metro line focusing on the perspective of demand and supply. The reality is that the passenger demand is dynamic and uncertain, with the corresponding probability distribution being partially known, which can be observed via a set of historical data. With this regard, this paper employs a data-driven methodology to establish an ambiguity set for characterizing distributional ambiguity of the dynamic uncertain passenger demand based on the Wasserstein metric. Furthermore, this paper formulates a two-stage Wasserstein distributionally robust optimization model to determine the mixed train formation plan and fine passenger flow control strategy such that the sum of the train operation cost and worst-case (i.e., maximum) expectation of the passenger waiting time is minimized. In addition, this paper presents a computationally tractable reformulation of the proposed Wasserstein distributionally robust optimization model under 1-Wasserstein ambiguity set. To deal with the computational complexity of the equivalent model, this paper also proposes a tailored decomposition algorithm with multiple optimality cuts strategy. Through a series of numerical experiments conducted using data from Beijing Subway Batong Line, this paper validates the operational efficacy and computational efficiency of the proposed model and algorithm.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116330"},"PeriodicalIF":4.4,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Delay induced stability switches in actuated railway bogie","authors":"Peng Guo,&nbsp;Caihong Huang,&nbsp;Huailong Shi,&nbsp;Jing Zeng","doi":"10.1016/j.apm.2025.116332","DOIUrl":"10.1016/j.apm.2025.116332","url":null,"abstract":"<div><div>This study examines the dynamical behavior of a railway bogie with yaw actuators under delayed displacement and velocity feedback control. First, the time delay is regarded as a bifurcation parameter to analyze stability switches and Hopf bifurcations. Next, analytical criteria for bifurcation direction and periodic solution stability are derived using the normal form theory and center manifold theorem. Furthermore, bifurcation analysis reveals the influence of key parameters on stability switches, Hopf frequency, global view of periodic motions, and global structure of Hopf bifurcations, including a Hopf-Hopf bifurcation through crossed Hopf branches. Notably, distinct critical delays generate periodic solutions with varying Hopf-related frequencies. Ultimately, numerical simulations validate that growing delay induces multiple stability switches and Hopf bifurcations, eventually causing instability, with hunting stability potentially being maintained under certain high-delay regions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116332"},"PeriodicalIF":4.4,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Special issue: “The most influential women in today’s applied mathematics” Applied Mathematical Modelling","authors":"Lev V. Idels ,&nbsp;Elisa Francomano ,&nbsp;Ivanka Stamova","doi":"10.1016/j.apm.2025.116344","DOIUrl":"10.1016/j.apm.2025.116344","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116344"},"PeriodicalIF":4.4,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144841091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Interfacial contact and ionic conduction in heterogeneous solid-state electrolytes","authors":"Le Zhao ,&nbsp;Zizhang Lin ,&nbsp;Yu Xiong ,&nbsp;Peidong Li ,&nbsp;Ernian Pan ,&nbsp;Xin Zhang","doi":"10.1016/j.apm.2025.116335","DOIUrl":"10.1016/j.apm.2025.116335","url":null,"abstract":"<div><div>Single-ion conducting polymer electrolytes exhibit excellent compatibility with solid-state electrodes. However, they are often limited by their low ionic conductivities. Incorporating conductive ceramic particles is an effective strategy to enhance the ionic conductivity of polymer electrolytes. These particles also improve their mechanical strength and stabilize their contact interface with lithium metal. A contact model is proposed to describe the interface between the solid-state lithium metal and the heterogeneous electrolyte. It couples the mechanical behavior of the interface with the electrochemical behavior of the electrolyte through the stress-modified Butler-Volmer equation. Through simulation, we investigate the impacts of inherent void defects inside the polymer electrolyte, conductive ceramic particles (i.e. LLZO, Lithium Lanthanum Zirconium Oxide, Li₇La₃Zr₂O₁₂), and external loads on the field response. Specifically, we analyze the stress fields, electrostatic potentials, and current density distributions in the heterogeneous electrolytes. Our results indicate that adding LLZO or applying higher external load can promote plastic deformation in lithium metal. Thus, we can effectively reduce the electrostatic potential at the contact interface while preventing a significant loss of current density in the electrolyte.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116335"},"PeriodicalIF":4.4,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144809780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}